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Summary
Description2adic12480.svg
The 2-adic integers (black points), with the numbers 1, 2, 4, 8, 16, and 0 labeled.
The 2-adic integers are laid out in a (non-isometric) topological embedding of Z2 into the complex plane:
where c is a small scale factor. For details on this map, see Chistyakov, D. V. (1996), “Fractal geometry for images of continuous embeddings of p-adic numbers and solenoids into Euclidean spaces”, in Theoretical and Mathematical Physics, volume 109, issue 3, DOI:10.1007/BF02073866, pages 1495–1507 The particular mapping used is , defined in Definition 3 and depicted in Figure 1 (with a larger scale factor).
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